Database Systems: Design, Implementation, & Management
Database Systems: Design, Implementation, & Management
12th Edition
ISBN: 9781305627482
Author: Carlos Coronel, Steven Morris
Publisher: Cengage Learning
Bartleby Related Questions Icon

Related questions

Question
For each of the following relations, determine whether the relation is:
(i) Reflexive.
(ii) Anti-reflexive.
(iii) Symmetric.
(iv) Anti-symmetric.
(v) Transitive.
(vi) A partial order.
(vii) A strict order.
(viii) An equivalence relation.
Justify all your answers. You need to have eight answers for each question.
a The domain of R is a group of students. Ry if x has earned more credits than y. (NOTE: You can
assume there are at least two students who have not earned the same number of credits.)
b R is a relation on Z such that Ry if and only if x - y = 3m for some integer m.
c The domain R is the set of all cell phone towers in a network. Two towers can communicate if they
are within a distance of three miles from each other. Ry if x can communicate with y. (NOTE: You
can assume that there are at least two towers that are within three miles of each other.)
expand button
Transcribed Image Text:For each of the following relations, determine whether the relation is: (i) Reflexive. (ii) Anti-reflexive. (iii) Symmetric. (iv) Anti-symmetric. (v) Transitive. (vi) A partial order. (vii) A strict order. (viii) An equivalence relation. Justify all your answers. You need to have eight answers for each question. a The domain of R is a group of students. Ry if x has earned more credits than y. (NOTE: You can assume there are at least two students who have not earned the same number of credits.) b R is a relation on Z such that Ry if and only if x - y = 3m for some integer m. c The domain R is the set of all cell phone towers in a network. Two towers can communicate if they are within a distance of three miles from each other. Ry if x can communicate with y. (NOTE: You can assume that there are at least two towers that are within three miles of each other.)
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781305627482
Author:Carlos Coronel, Steven Morris
Publisher:Cengage Learning
Text book image
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781285196145
Author:Steven, Steven Morris, Carlos Coronel, Carlos, Coronel, Carlos; Morris, Carlos Coronel and Steven Morris, Carlos Coronel; Steven Morris, Steven Morris; Carlos Coronel
Publisher:Cengage Learning
Text book image
Operations Research : Applications and Algorithms
Computer Science
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Brooks Cole
Text book image
Np Ms Office 365/Excel 2016 I Ntermed
Computer Science
ISBN:9781337508841
Author:Carey
Publisher:Cengage
Text book image
Principles of Information Systems (MindTap Course...
Computer Science
ISBN:9781285867168
Author:Ralph Stair, George Reynolds
Publisher:Cengage Learning
Text book image
Fundamentals of Information Systems
Computer Science
ISBN:9781305082168
Author:Ralph Stair, George Reynolds
Publisher:Cengage Learning